Answer:
The volume of cube-shaped block is 0.125 cubic feet.
Step-by-step explanation:
We are given the following in the question:
Edge length of storage container =
[tex]2\dfrac{1}{2}\text{ feet}[/tex]
Edge length of block =
[tex]\dfrac{1}{5}\times \text{Edge length of container}[/tex]
Putting value we get,
Edge length of block =
[tex]\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}[/tex]
Volume of cube-shaped block = Volume of cube
[tex]V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}[/tex]
Thus, the volume of cube-shaped block is 0.125 cubic feet.
